What is the Greatest Common Factor of 9924 and 9928?

Greatest common factor (GCF) of 9924 and 9928 is 4.

GCF(9924,9928) = 4

We will now calculate the prime factors of 9924 and 9928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9924 and 9928.

How to find the GCF of 9924 and 9928?

We will first find the prime factorization of 9924 and 9928. After we will calculate the factors of 9924 and 9928 and find the biggest common factor number .

Step-1: Prime Factorization of 9924

Prime factors of 9924 are 2, 3, 827. Prime factorization of 9924 in exponential form is:

9924 = 2² × 3¹ × 827¹

Step-2: Prime Factorization of 9928

Prime factors of 9928 are 2, 17, 73. Prime factorization of 9928 in exponential form is:

9928 = 2³ × 17¹ × 73¹

Step-3: Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962

Step-4: Factors of 9928

List of positive integer factors of 9928 that divides 9924 without a remainder.

1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9924 and 9928. The biggest common factor number is the GCF number.
So the greatest common factor 9924 and 9928 is 4.

Also check out the Least Common Multiple of 9924 and 9928